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Finding the Fourth Proportional to 7,963.50, 11,957.58 and 4,272.93

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Solution

The fourth proportional to 7,963.50, 11,957.58 and 4,272.93 is: 6,416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.50 : 11,957.58 = 4,272.93 : x
  2. Step 2: Convert to fraction form
    7,963.50/11,957.58 = 4,272.93/x
  3. Step 3: Cross multiply
    7,963.50x = 11,957.58 × 4,272.93
  4. Step 4: Simplify right side
    7,963.50x = 51,093,902.31
  5. Step 5: Solve for x
    x = 51,093,902.31/7,963.50
  6. Step 6: Final answer
    x = 6,416.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.